Transformation between polar and rectangular coordinates of stiffness and dampness parameters in hydrodynamic journal bearings

Abstract The stiffness and dampness parameters of journal bearings are required in rectangular coordinates for analyzing the stability boundary and threshold speed of oil film bearings. On solving the Reynolds equation, the oil film force is always obtained in polar coordinates; thus, the stiffness...

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Main Authors: Zhuxin Tian, Yu Huang
Format: Article
Language:English
Published: Tsinghua University Press 2020-01-01
Series:Friction
Subjects:
Online Access:https://doi.org/10.1007/s40544-019-0328-9
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author Zhuxin Tian
Yu Huang
author_facet Zhuxin Tian
Yu Huang
author_sort Zhuxin Tian
collection DOAJ
description Abstract The stiffness and dampness parameters of journal bearings are required in rectangular coordinates for analyzing the stability boundary and threshold speed of oil film bearings. On solving the Reynolds equation, the oil film force is always obtained in polar coordinates; thus, the stiffness and dampness parameters can be easily obtained in polar coordinates. Therefore, the transformation between the polar and rectangular coordinates of journal bearing stiffness and dampness parameters is discussed in this study.
format Article
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institution DOAJ
issn 2223-7690
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language English
publishDate 2020-01-01
publisher Tsinghua University Press
record_format Article
series Friction
spelling doaj-art-ff92f14e73ce4e6787fced9b8c3ee35e2025-08-20T03:04:39ZengTsinghua University PressFriction2223-76902223-77042020-01-019120120610.1007/s40544-019-0328-9Transformation between polar and rectangular coordinates of stiffness and dampness parameters in hydrodynamic journal bearingsZhuxin Tian0Yu Huang1School of Mechanical Engineering, Hubei University of Arts and ScienceSchool of Mechanical Engineering, Hubei University of Arts and ScienceAbstract The stiffness and dampness parameters of journal bearings are required in rectangular coordinates for analyzing the stability boundary and threshold speed of oil film bearings. On solving the Reynolds equation, the oil film force is always obtained in polar coordinates; thus, the stiffness and dampness parameters can be easily obtained in polar coordinates. Therefore, the transformation between the polar and rectangular coordinates of journal bearing stiffness and dampness parameters is discussed in this study.https://doi.org/10.1007/s40544-019-0328-9coordinate transformationstiffness parametersdampness parametershydrodynamic journal bearings
spellingShingle Zhuxin Tian
Yu Huang
Transformation between polar and rectangular coordinates of stiffness and dampness parameters in hydrodynamic journal bearings
Friction
coordinate transformation
stiffness parameters
dampness parameters
hydrodynamic journal bearings
title Transformation between polar and rectangular coordinates of stiffness and dampness parameters in hydrodynamic journal bearings
title_full Transformation between polar and rectangular coordinates of stiffness and dampness parameters in hydrodynamic journal bearings
title_fullStr Transformation between polar and rectangular coordinates of stiffness and dampness parameters in hydrodynamic journal bearings
title_full_unstemmed Transformation between polar and rectangular coordinates of stiffness and dampness parameters in hydrodynamic journal bearings
title_short Transformation between polar and rectangular coordinates of stiffness and dampness parameters in hydrodynamic journal bearings
title_sort transformation between polar and rectangular coordinates of stiffness and dampness parameters in hydrodynamic journal bearings
topic coordinate transformation
stiffness parameters
dampness parameters
hydrodynamic journal bearings
url https://doi.org/10.1007/s40544-019-0328-9
work_keys_str_mv AT zhuxintian transformationbetweenpolarandrectangularcoordinatesofstiffnessanddampnessparametersinhydrodynamicjournalbearings
AT yuhuang transformationbetweenpolarandrectangularcoordinatesofstiffnessanddampnessparametersinhydrodynamicjournalbearings